The curve with equation y=8x^2+2/x has one turning point.

Find the coordinates of this turning point.

Answers

Answer 1

Answer:

Coordinates of turning point is (½, 6)

Step-by-step explanation:

We are given the equation of the curve as;

y = 8x² + (2/x)

At turning point, dy/dx = 0

Thus;

dy/dx = 16x - 2/x²

At dy/dx = 0, we have;

16x - 2/x² = 0

Rearrange to get;

16x = 2/x²

Multiply both sides by x² to get;

16x³ = 2

x³ = 2/16

x³ = 1/8

x = ∛(⅛)

x = ½

At x = ½, we have;

y = 8(½)² + (2/½) = 2 + 4 = 6

Thus, coordinates of turning point is (½, 6)


Related Questions

Which ordered pair is a solution of the inequality y< 3x+1?

Answers

(0,1),(1,4),(2,7) is the answer

Find the length of the missing leg

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Answer:

57.3

Step-by-step explanation:

dont have time for an explanation sorry

HELP?!????!?? For both of them number 6 &7

Answers

6. D

7. B

Hope it helps

A family has a monthly income of ​$2800 and plans to spend 12​% of this amount on entertainment. How much will be spent on​ entertainment?

Answers

The family will spend $336 on entertainment.

37) The graph represents the solution to which inequality?

Answers

Answer:

your answer will be D. X - 5 < -9

Step-by-step explanation:

hope it helps have a nice day!!!

Original Number
Write as Fraction
5
6

Answers

Answer:

5/6 because it would be because the numerator would be 5 and the denominator would be 6.  

Answer:

5/6

Step-by-step explanation:

since 5 is on the top it would be the numerator

since 6 is on the bottom it would be the denominator.

It costs $120 for 20 students to visit an aquarium. How much does it cost for 152 students? Set up a proportion to solve.​

Answers

Answer:

152 times 6=912

Step-by-step explanation:

$120 for every 20 students

it cost $6 for every 1 student

$6 times 152=912

NEED ANSWERS ASAP PLS HELP

Answers

With what? Yooooooooo

The area of the triangle below is 8.91 square inches. What is the length of the base?

2.2 in is the height will mark BRAINLIEST!!!!!!

Answers

I think the answer is 19.602 hope this helps!

PLZ HELP ME ASAP PLS

Answers

Answer:

The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made

This is answer is B.

No triangle can have 2 sides.

helpppp please any answers

Answers

Step-by-step explanation:

2 + 3 × 6 + 4 × 3

Here, Parantheses should be put,

(2 + 3) × 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)

= 5 × 6 + 4 × 3 (Then multiplication)

= 30 + 12. (At last addition)

= 42

HELP ME PLEASEEEEEEEE

Answers

Answer:

x = 21

Step-by-step explanation:

3x + 18 + 4x + 15 = 180

7x + 33 = 180

7x = 147

x = 21

Answer:

x = 21

Step-by-step explanation:

3x + 18 + 4x + 15 =180

7x + 33 = 180

7x = 147

x = 21

What is the distance between (-6,0) and (5,3)?

Answers

Answer:

[tex]\sqrt{130}[/tex] or 11.4

Step-by-step explanation:

Use the distance formula:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the points:

d = [tex]\sqrt{(-6 - 5)^2 + (0 - 3)^2}[/tex]

Simplify:

d = [tex]\sqrt{(-11)^2 + (-3)^2}[/tex]

d = [tex]\sqrt{121 + 9}[/tex]

d = [tex]\sqrt{130}[/tex]

= approximately 11.4

So, the distance is [tex]\sqrt{130}[/tex] or approx. 11.4

Again please

A company is developing packaging for a new product as shown below.
Choose all of the expressions that can be used to find the volume of the packaging.

Packaging is made up of 2 cuboids. First cuboid has length as 2 m, height as 9 m and width as 4 m. Second cuboid has length as 2 m, height as 3 m and width as 4 m.
A. (2 × 3 × 4) + (2 × 9 × 2)
B. (2 × 4 × 3) + (2 × 9 × 4)
C. (2 × 4 × 3) + (4 × 9 × 4)
D. (3 × 4 × 4) + (2 × 9 × 2)
E. (3 × 4 × 4) + (6 × 4 × 2)

Answers

Answer; B second one
I hope this helps tou ! With ur stuff !
Answer B because it shows what it says in the sentence and the answer as well.

Which describes the slope of the given line?
A. Undefined
B. Negative
C. Zero
D. Positive

Answers

Answer:

A. Undefined

Step-by-step explanation:

A slope that is only a vertical line is described as "undefined." There are only y-coordinates and no x-coordinates.

Is landing on 1 six times in a row on a 6 sided dice impossible, unlikely, equally likely, likely, or certain?

Answers

Answer:

unlikely

Step-by-step explanation:

its a 1/6 chance of landing on it

D)
192
Niles spent $42 on three kites. Which equation will tell you how much each kite cost?
A)
3x = 42
B)
42x - 3
x +3 - 42
D)
42
3

Answers

A) 3x=42 !!!!!!!!!!!!

On Saturday, Lukas drove 3x – 6 miles. On Sunday, he drove 2x – 10 miles. What is the difference in miles driven?

Make sure your answer is a simplified expression.

Answers

The answer is 6 because 3-6 is 3 10-2 is 8 so 8

Can you plz help me this is hard

Answers

Answer:

b

Step-by-step explanation:

4 to -1 is 5 units

1
1) Which expression is equal to 64 ?
a) 10
b) 24
c) 45
d) 6 x 6 x 6x6

Answers

Answer: d

Step-by-step explanation:

Which expression is equivalent to 4/9×2?
2x 9/2
4x2/9
2x2/9
4x9/2

Answers

4x2/9
_______________

Answer: is b

Step-by-step explanation:

What is The value of ...

Answers

-3x^-4
=3-(-3)=6
Thank you

Here is the histogram of a data distribution. All class widths are 1.
What is the median of this distribution?
O A. 4
O B. 3
O C. 6
D. 5

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics of a Categorised data.

We know that medium is the middle most point of any observation table or a Histogram displayed,

Hence we can clearly see here that, observation - 4 on the x-axis is the middle most entry of the Histogram, around which all other entries are equal.

===> Hence, option A.) 4 is correct answer.

You must travel 295 miles to reach the next clue. In the first two hours of the trip you drive 115 miles. If you must reach the clue before time expires in 2.5 hours, at least how many miles should you travel each hour?​

Answers

Answer:

Step-by-step explanation:

295 (miles to drive altogether) - 115 (miles already driven) = 180 (miles left to drive)

115 (miles already driven) / 2 (how many hours it took to reach 115 miles) = 57.5 (miles per hour)

180 (miles left to drive) / 57.5 (miles per hour) = 3.13 (hours it will take to reach the 295-mile mark at a rate of speed of 57.5 miles per hour)

So, you will have to drive more miles per hour than 57.5 miles per hour to be able reach the 295-mile goal, because it would take approximately 3 hours to drive the remaining 180 miles.

You will have to drive AT LEAST 72 miles each hour, and then 36 miles in the half hour to be able to reach the 295-mile mark.

I hope this helps, and is a thorough enough explanation :)

6x3=18...............................................................................................

Answers

Answer:

yeah 6×3=18 by multiplying 6 and 3

Yes 6 x3=18 by multiplying 6x3

can yall help..me out a lil

Answers

Answer:

53 in^2

Step-by-step explanation:

Divide the arrow into two shapes, a triangle and a rectangle. Now find the area for both of them.

Rectangle: l*w

4*8=32 in^2

Triangle: 1/2bh

1/2(6)(11-4)

3*7

21 in^2

Combine them: 21+32=53

evaluate the following expression:

21 - ( 11 - 7 ) ² + 12

will give brainliest to whoever is right!!

Answers

Answer:

The answer is 21 - ( 11 - 7 ) ² + 12 = 17

Step-by-step explanation:

Alguien me ayuda con estos problemas?

Answers

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Simplify fully 4a sqaured +8a +2 I-a squared +9a -3

Answers

Answer:

The simplified expression is: [tex]3a^2 + 17a - 1[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]4a^2 + 8a + 2 - a^2 + 9a - 3[/tex]

We can fully simplify the expression by combining the like terms. So

[tex]4a^2 + 8a + 2 - a^2 + 9a - 3 = 4a^2 - a^2 + 8a + 9a + 2 - 3 = 3a^2 + 17a - 1[/tex]

The simplified expression is: [tex]3a^2 + 17a - 1[/tex]


if a height of a door is 1 foot more than twice its width what is the width of the door if it is 7 foot high what equation would you write ​

Answers

1. The width of the door is 3.
2. the equation is (7 - 1) divided by 2.
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